Периодические издания

Вопросы экономики.

Город N.

Деньги и кредит.

Инвестиции в России.

Российский экономический журнал.

Финансы и кредит.

Экономическая газета.

Интернет-сайты

http: //www.forecast.ru.

http: //www.cbr.ru.

http: //www.economy.gov.ru

www.cemi.ru/rus/cba/strt-cba.htm.

www.worldbank.com).

www.arb.ru.

Приложение 1.

Множители наращения, S(r,n)=(1+r)ⁿ

R N	1%	2%	3%	4%	5%	6%	7%	8%	10%	11%	12%	13%	14%	15%	16%	20%	25%	30%	35%
1 2 3 4 5	1,010 1,020 1,030 1,041 1,051	1,020 1,040 1,061 1,082 1,104	1,030 1,061 1,093 1,126 1,159	1,040 1,082 1,125 1,170 1,217	1,050 1,103 1,158 1,216 1,276	1,060 1,124 1,191 1,262 1,338	1,070 1,145 1,225 1,311 1,403	1,080 1,166 1,260 1,360 1,469	1,100 1,210 1,331 1,464 1,611	1,110 1,232 1,368 1,518 1,685	1,120 1,254 1,405 1,574 1,762	1,130 1,277 1,443 1,630 1,842	1,140 1,300 1,482 1,689 1,925	1,150 1,323 1,521 1,749 2,011	1,160 1,346 1,561 1,811 2,100	1,200 1,440 1,728 2,074 2,488	1,250 1,563 1,953 2,441 3,052	1,300 1,690 2,197 2,856 3,713	1,350 1,823 2,460 3,322 4,484
6 7 8 9 10	1,062 1,072 1,083 1,094 1,105	1,126 1,149 1,172 1,195 1,219	1,194 1,230 1,267 1,305 1,344	1,265 1,316 1,369 1,423 1,480	1,340 1,407 1,477 1,511 1,629	1,419 1,504 1,594 1,689 1,791	1,501 1,606 1,718 1,838 1,967	1,587 1,714 1,851 1,999 2,159	1,772 1,949 2,144 2,358 2,594	1,870 2,076 2,305 2,558 2,839	1,974 2,211 2,476 2,773 3,106	2,082 2,353 2,658 3,004 3,395	2,195 2,502 2,853 3,252 3,707	2,313 2,660 3,059 3,518 4,046	2,436 2,826 3,278 3,803 4,411	2,986 3,583 4,300 5,160 6,192	3,815 4,768 5,960 7,451 9,313	4,827 6,275 8,157 10,604 13,486	6,053 8,172 11,032 14,894 20,107
11 12 13 14 15	1,116 1,127 1,138 1,149 1,161	1,243 1,268 1,294 1,319 1,346	1,384 1,426 1,469 1,513 1,558	1,539 1,601 1,665 1,732 1,801	1,710 1,796 1,886 1,980 2,079	1,898 2,012 2,133 2,261 2,397	2,105 2,252 2,410 2,579 2,759	2,332 2,518 2,720 2,937 3,172	2,853 3,138 3,452 3,797 4,177	3,152 3,498 3,883 4,310 4,785	3,479 3,896 4,363 4,887 5,474	3,836 4,335 4,898 5,535 6,254	4,226 4,818 5,492 6,261 7,138	4,652 5,350 6,153 7,076 8,137	5,117 5,936 6,886 7,988 9,266	7,430 8,916 10,699 12,839 15,407	11,642 14,552 18,190 22,737 28,422	17,922 23,298 30,288 39,374 51,186	27,144 36,664 49,470 66,784 90,158
16 17 18 19 20	1,173 1,184 1,196 1,208 1,220	1,373 1,400 1,428 1,457 1,486	1,605 1,653 1,702 1,754 1,806	1,873 1,948 2,026 2,107 2,191	2,183 2,292 2,407 2,527 2,653	2,540 2,693 2,854 3,026 3,207	2,952 3,159 3,380 3,617 3,870	3,426 3,700 3,996 4,316 4,661	4,595 5,054 5,560 6,116 6,727	5,311 5,895 6,544 7,263 8,062	6,130 6,866 7,690 8,613 9,646	7,067 7,968 9,024 10,197 11,523	8,137 9,276 10,575 12,056 13,743	9,358 10,761 12,375 14,232 16,367	10,748 12,468 14,463 16,777 19,461	18,488 22,186 26,323 31,948 38,388	35,527 44,409 55,511 69,389 86,736	66,542 86,504 112,46 146,19 190,05	121,71 164,31 221,82 299,46 404,27
21 22 23 24 25	1,232 1,245 1,257 1,270 1,282	1,516 1,546 1,577 1,608 1,641	1,860 1,916 1,974 2,033 2,094	2,279 2,370 2,465 2,563 2,666	2,786 2,925 3,072 3,225 3,386	3,400 3,604 3,820 4,049 4,292	4,141 4,430 4,741 5,072 5,427	5,034 5,437 5,871 6,341 6,848	7,400 8,140 8,954 9,850 10,835	8,949 9,934 11,026 12,239 13,585	10,804 12,100 13,522 15,179 17,000	13,021 14,714 16,627 18,788 21,231	15,688 17,861 20,362 23,212 26,462	18,882 21,645 24,891 28,625 32,919	22,574 26,186 30,376 35,236 40,874	46,005 55,206 66,247 79,497 95,396	108,42 135,53 169,41 211,76 264,70	247,06 321,18 417,54 542,80 705,64	545,77 736,79 994,66 1342,8 1812,8
30	1,348	1,811	2,427	3,243	4,322	5,743	7,612	10,063	17,449	22,892	29,960	39,116	50,950	66,212	85,850	237,38	807,79	2620,0	8128,5
35	1,417	2,000	2,814	3,946	5,516	7,686	10,677	14,785	28,102	38,575	52,800	72,069	98,100	133,17	180,31	590,67	2465,2	9727,9	36449,
40	1,489	2,208	3,262	4,801	7,040	10,286	14,974	21,725	45,259	65,001	93,051	132,78	188,88	267,86	378,72	1469,8	7523,2	36119,
45	1,565	2,438	3,782	5,841	8,985	13,765	21,002	31,920	72,890	109,53	163,99	244,64	363,68	538,77	795,44	3657,3	22959,
50	1,645	2,692	4,384	7,107	11,467	18,420	29,457	46,902	117,39	184,56	289,00	450,74	700,23	1083,7	1670,7	9100,4	70065,

Приложение 2.

Дисконтирующие модели, (r,n)=1/(1+r)ⁿ

R N	1%	2%	3%	4%	5%	6%	7%	8%	9%	10%	11%	12%	14%	15%	16%	17%	18%	19%	20%	25%	30%	35%
1 2 3 4 5	,990 ,980 ,971 ,961 ,951	,980 ,961 ,942 ,924 ,906	,971 ,943 ,915 ,888 ,863	,962 ,925 ,889 ,855 ,822	,952 ,907 ,864 ,823 ,784	,943 ,890 ,840 ,792 ,747	,935 ,873 ,816 ,763 ,713	,926 ,857 ,794 ,735 ,681	,917 ,842 ,772 ,708 ,650	,909 ,826 ,751 ,683 ,621	,901 ,812 ,731 ,659 ,593	,893 ,797 ,712 ,636 ,567	,877 ,769 ,675 ,592 ,519	,870 ,756 ,658 ,572 ,497	,862 ,743 ,641 ,552 ,476	,855 ,731 ,624 ,534 ,456	,847 ,718 ,609 ,516 ,437	,840 ,706 ,593 ,499 ,419	,833 ,694 ,579 ,482 ,402	,800 ,640 ,512 ,410 ,328	,769 ,592 ,455 ,350 ,269	,741 ,549 ,406 ,301 ,223
6 7 8 9 10	,942 ,933 ,923 ,914 ,905	,888 ,871 ,853 ,837 ,820	,837 ,813 ,789 ,766 ,744	,790 ,760 ,731 ,703 ,676	,746 ,711 ,677 ,645 ,614	,705 ,665 ,627 ,592 ,558	,666 ,623 ,582 ,544 ,508	,630 ,583 ,540 ,500 ,463	,596 ,547 ,502 ,460 ,422	,564 ,513 ,467 ,424 ,386	,535 ,482 ,434 ,391 ,352	,507 ,452 ,404 ,361 ,322	,456 ,400 ,351 ,308 ,270	,432 ,376 ,327 ,284 ,247	,410 ,354 ,305 ,263 ,227	,390 ,333 ,285 ,243 ,208	,370 ,314 ,266 ,225 ,191	,352 ,296 ,249 ,209 ,176	,335 ,279 ,233 ,194 ,162	,262 ,210 ,168 ,134 ,107	,207 ,159 ,123 ,094 ,073	,165 ,122 ,091 ,067 ,050
11 12 13 14 15	,896 ,887 ,879 ,870 ,861	,804 ,788 ,773 ,758 ,743	,722 ,701 ,681 ,661 ,642	,650 ,625 ,601 ,577 ,555	,585 ,557 ,530 ,505 ,481	,527 ,497 ,469 ,442 ,417	,475 ,444 ,415 ,388 ,362	,429 ,397 ,368 ,340 ,315	,388 ,356 ,326 ,299 ,275	,350 ,319 ,290 ,263 ,239	,317 ,286 ,258 ,232 ,209	,287 ,257 ,229 ,205 ,183	,237 ,208 ,182 ,160 ,140	,215 ,187 ,163 ,141 ,123	,195 ,168 ,145 ,125 ,108	,178 ,152 ,130 ,111 ,095	,162 ,137 ,116 ,099 ,084	,148 ,124 ,104 ,088 ,074	,135 ,112 ,093 ,078 ,065	,086 069 ,055 ,044 ,035	,056 ,043 ,033 ,025 ,020	,037 ,027 ,020 ,015 ,011
16 17 18 19 20	,853 ,844 ,836 ,828 ,820	,728 ,714 ,700 ,686 ,673	,623 ,605 ,587 ,570 ,554	,534 ,513 ,494 ,475 ,456	,458 ,436 ,416 ,396 ,377	,394 ,371 ,350 ,331 ,312	,339 ,317 ,296 ,277 ,258	,292 ,270 ,250 ,232 ,215	,252 ,231 ,212 ,194 ,178	,218 ,198 ,180 ,164 ,149	,188 ,170 ,153 ,138 ,124	,163 ,146 ,130 ,116 ,104	,123 ,108 ,095 ,083 ,073	,107 ,093 ,081 ,070 ,061	,093 ,080 ,069 ,060 ,051	,081 ,069 ,059 ,051 ,043	,071 ,060 ,051 ,043 ,037	,062 ,052 ,044 ,037 ,031	,054 ,045 ,038 ,031 ,026	,028 ,023 ,018 ,014 ,012	,015 ,012 ,009 ,007 ,005	,008 ,006 ,005 ,003 ,002
21 22 23 24 25	,811 ,803 ,795 ,788 ,780	,660 ,647 ,634 ,622 ,610	,538 ,522 ,507 ,492 ,478	,439 ,422 ,406 ,390 ,375	,359 ,342 ,326 ,310 ,295	,294 ,278 ,262 ,247 ,233	,242 ,226 ,211 ,197 ,184	,199 ,184 ,170 ,158 ,146	,164 ,150 ,138 ,126 ,116	,135 ,123 ,112 ,102 ,092	,112 ,101 ,091 ,082 ,074	,093 ,087 ,074 ,066 ,059	,064 ,056 ,049 ,043 ,038	,053 ,046 ,040 ,035 ,030	0,44 0,38 ,033 ,028 ,024	,037 ,032 ,027 ,023 ,020	,031 ,026 ,022 ,019 ,016	,026 ,022 ,018 ,015 ,013	,022 ,018 ,015 ,013 ,010	,009 ,007 ,006 ,005 ,004	,004 ,003 ,002 ,002 ,001	,002 ,001 ,001 ,001 ,001
30	,742	,552	,412	,308	,231	,174	,131	,099	,075	,057	,044	,033	,020	,015	,012	,009	,007	,005	,004	,001
35	,706	,500	,355	,253	,181	,130	,094	,068	,049	,036	,026	,019	,010	,008	,006	,004	,003	,002	,002
40	,672	,453	,307	,208	,142	,097	,067	,046	,032	,022	,015	,011	,005	,004	,003	,002	,001	,001	,001
45	,639	,410	,264	,171	,111	,073	,048	,031	,021	,014	,009	,006	,003	,002	,001	,001	,001
50	,608	,372	,228	,141	,087	,054	,034	,021	,013	,009	,005	,003	,001	,001	,001

Таблица 3.

Множители наращения ренты, S(r,n)

R N	1%	2%	3%	4%	5%	6%	7%	8%	9%	10%	11%	12%	14%	15%	16%	20%	25%	30%	35%
1 2 3 4 5	1,000 2,010 3,030 4,060 5,101	1,000 2,020 3,060 4,122 5,204	1,000 2,030 3,091 4,184 5,309	1,000 2,040 3,122 4,246 5,416	1,000 2,050 3,153 4,310 5,526	1,000 2,060 3,184 4,375 5,637	1,000 2,070 3,215 4,440 5,751	1,000 2,080 3,246 4,506 5,867	1,000 2,090 3,278 4,573 5,985	1,000 2,100 3,310 4, 641 6,105	1,000 2,110 3,342 4,710 6,228	1,000 2,120 3,374 4,779 6,353	1,000 2,140 3,440 4,921 6,610	1,000 2,150 3,473 4,993 6,742	1,000 2,160 3,506 5,066 6,877	1,000 2,200 3,640 5,368 7,442	1,006 2,250 3,813 5,766 8,207	1,000 2,300 3,990 6,187 9,043	1.000 2,350 4,173 6,633 9,954
6 7 8 9 10	6,152 7,214 8,286 9,369 10,462	6,308 7,434 8,583 9,755 10,950	6,468 7,662 8,892 10,159 11,464	6,633 7,898 9,214 10,583 12,006	6,802 8,142 9,549 11,027 12,578	6,975 8,394 9,897 11,491 13,181	7,153 8,654 10,260 11,978 13,816	7,336 8,923 10,637 12,488 14,487	7,523 9,200 11,028 13,021 15,139	7,716 9,487 11,436 13,579 15,937	7,913 9,783 11,859 14,164 16,722	8,115 10,089 12,300 14,776 17,549	8,536 10,730 13,233 16,085 19,337	8,754 11,067 13,727 16,786 20,304	8,977 11,414 14,240 17,519 21,321	9,930 12,916 16,499 20,799 25,959	11,259 15,073 19,842 25,802 33,253	12,756 17,583 23,858 32,015 42,619	14,438 20,492 28,664 39,696 54,590
11 12 13 14 15	11,567 12,683 13,809 14,947 16,097	12,169 13,412 14,680 15,974 17,293	12,808 14,192 15,618 17,086 18,599	13,486 15,026 16,627 18,292 20,024	14,207 15,917 17,713 19,599 21,579	14,972 16,870 18,882 21,015 23,276	15,784 17,888 20,141 22,550 25,129	16,645 18,977 21,495 24,215 27,152	17,560 20,141 22,953 26,019 29,361	18,531 21,384 24,523 27,975 31,772	19,561 22,713 26,212 30,095 34,405	20,655 24,133 28,029 32,393 37,280	23,045 27,271 32,089 37,581 43,842	24,349 29,002 34,352 40,505 47,580	25,733 30,850 36,786 43,672 51,660	32,150 39,581 48,497 59,196 72,035	42,566 54,208 68,760 86,949 109,69	56,405 74,327 97,625 127,91 167,29	74,697 101,84 138,48 187,95 254,74
16 17 18 19 20	17,258 18,430 19,615 20,811 22,019	18,639 20,012 21,412 22,841 24,297	20,157 21,762 23,414 25,117 26,870	21,825 23,698 25,645 27,671 29,778	23,657 25,840 28,131 30,539 33,066	25,673 28,213 30,906 33,760 36,786	27,888 30,840 33,999 37,379 40,995	30,324 33,750 37,450 41,446 45,762	33,033 36,974 41,301 46,018 51,160	35,950 40,545 45,599 51,159 57,275	39,190 44,501 50,396 56,939 64,203	42,753 48,884 55,750 63,440 72,052	50,980 56,118 68,394 78,969 91,025	55,717 65,075 75,836 88,212 102,44	60,925 71,673 84,141 98,603 115,38	87,442 105,93 128,12 154,74 186,69	138,11 173,64 218,04 273,56 342,94	218,47 285,01 371,52 483,97 630,17	344,90 466,61 630,92 852 75 1152,2
21 22 23 24 25	23,239 24,472 25,716 26,973 28,243	25,783 27,299 28,845 30,422 32,030	28,676 30,537 32,453 34,426 36,459	31,969 34,248 36,618 39,083 41,646	35,719 38,505 41,430 44,562 47,727	39,993 43,392 46,996 50,816 54,865	44,865 49,006 53,436 58,177 63,249	50,423 55,457 60,893 66,765 73,106	56,765 62,873 69,532 76,790 84,701	64,002 71,403 79,543 88,497 98,347	72,265 81,214 91,148 102,17 114,41	81,699 92,563 104,60 118,16 133,33	104,77 120,44 138,30 158,66 181,87	118,81 137,63 159,28 184,17 212,79	134,84 157,41 183,60 213,98 249,21	225,03 271,03 326,24 392,48 471,98	429,68 538,10 673,63 843,03 1054,8	820,22 1067,3 1388,5 1806,0 2348,8	1556, 5 2102,3 2839,0 3833,7 5176,5
30	34,785	40,568	47,575	56,085	66,349	79,058	94,461	113,28	136,31	164,49	199,02	241,33	356,79	434,75	530,31	1181,9	3227,2	8730,0	23222,
35	41,660	49,994	60,462	73,652	90,320	111,43	138,24	172,32	215,71	271,02	341,59	431,66	693,57	881,17	1120,7	2948,3	9856,8	32423,
40	48,886	60,402	75,401	95,026	120,80	154,76	199,64	259,06	337,88	442,59	581,83	767,09	1342,0	1779,1	2360,8	7343,9	30089,
45	56,481	71,839	92,720	121,03	159,70	212,74	285,75	386,51	525,86	718,90	986,64	1358,2	2590,6	3585,1	4965,3	18281,	91831,
50	64,463	84,579	112,80	152,67	209,35	290,34	406,53	573,77	815,08	1163,9	1668,8	2400,0	4994,5	7217,7	10436,	45497,

Приложение 4.

Дисконтирующие множители ренты, (r,n)

R N	1%	2%	3%	4%	5%	6%	7%	8%	10%	11%	12%	14%	15%	16%	17%	18%	19%	20%	25%	30%	35%
1 2 3 4 5	0,990 1,970 2,941 3,902 4,853	0,980 1,942 2,884 3,808 4,713	0,971 1,913 2,829 3,717 4,580	0,962 1,886 2,775 3,630 4,452	0,952 1,859 2,723 3,546 4,329	0,943 1,833 2,673 3,465 4,212	0,935 1,808 2,624 3,387 4,100	0,926 1,783 2,577 3,312 3,993	0,909 1,736 2,487 3,170 3,791	0,901 1,713 2,444 3,102 3,696	0,893 1,690 2,402 3,037 3,605	0,877 1,647 2,322 2,914 3,433	0,870 1,626 2,283 2,855 3,352	0,862 10605 20246 2,798 3,274	0,855 1,585 2,210 2,743 3,199	0,847 1,566 2,174 2,690 3,127	0,840 1,547 2,140 2,639 3,058	0,833 1,528 2,106 2,589 2,991	0,800 1,440 1,952 2,362 2,689	0,769 1,361 1,816 2,166 2,436	0,741 1,289 1,696 1,997 2,220
6 7 8 9 10	5,795 6,728 7,652 8,566 9,471	5,601 6,472 7,325 8,162 8,983	5,417 6,230 7,020 7,786 8,530	5,242 6,002 6,733 7,435 8,111	5,076 5,786 6,463 7,108 7,722	4,917 5,582 6,210 6,802 7,360	4,767 5,389 5,971 6,515 7,024	4,623 5,206 5,747 6,247 6,710	4,355 4,868 5,335 5,759 6,145	4,231 4,712 5,146 5,537 5,889	4,111 4,564 4,968 5,328 5,650	3,889 4,288 4,639 4,946 5,216	3,784 4,160 4,487 4,772 5,019	3,685 4,039 4,344 4,607 4,833	3,589 3,922 4,207 4,451 4,659	3,498 3,812 4,078 4,303 4,494	3,410 3,706 3,954 4,163 4,339	3,326 3,605 3,837 4,031 4,192	2,951 3,161 3,329 3,463 3,571	2,643 2,802 2,925 3,019 3,092	2,385 2,508 2,598 2,665 2,715
11 12 13 14 15	10,368 11,255 12,134 13,004 13,865	9,787 10,575 11,348 12,106 12,849	9,253 9,954 10,653 11,296 11,938	8,760 9,385 9,986 10,563 11,118	8,306 8,863 9,394 9,899 10,380	7,887 8,384 8,853 9,395 9,712	7,499 7,943 8,358 8,745 9,108	7,139 7,536 7,904 8,244 8,559	6,495 6,814 7,103 7,367 7,606	6,207 6,492 6,750 6,982 7,191	5,938 6,194 6,424 6,628 6,811	5,453 5,660 5,842 6,002 6,142	5,234 5,421 5,583 5,724 5,847	5,029 5,197 5,342 5,468 5,575	4,863 4,988 5,118 5,229 5,324	4,656 4,793 4,910 5,008 5,092	4,486 4,611 4,715 4,802 4,876	4,327 4,439 4,533 4,611 4,675	3,656 3,725 3,780 3,824 3,859	3,147 3,190 3,223 3,249 3,268	2,752 2,779 2,779 2,814 2,825
16 17 18 19 20	14,718 15,562 16,398 17,226 18,046	13,578 14,292 14,992 15,678 16,351	12,561 13,166 13,754 14,324 14,877	11,652 12,166 12,659 13,134 13,590	10,838 11,274 11,690 12,085 12,462	10,106 10,477 10,828 11,158 11,470	9,447 9,763 10,059 10,336 10,594	8,851 9,122 9,372 9,604 9,818	7,824 8,022 8,201 8,365 8,514	7,379 7,549 7,702 7,839 7,963	6,974 7,120 7,250 7,366 7,469	6,265 6,373 6,467 6,550 6,623	5,954 6,047 6,128 6,198 6,259	5,668 5,749 5,818 5,877 5,929	5,405 5,475 5,534 5,584 5,628	5,162 5,222 5,273 5,316 5,353	4,938 4,990 5,033 5,070 5,101	4,730 4,775 4,812 4,843 4,870	3,887 3,910 3,928 3,942 3,954	3,283 3,295 3,304 3,311 3,316	2,834 2,840 2,844 2,848 2,850
21 22 23 24 25	18,857 19,660 20,456 21,243 22,023	17,011 17,658 18,292 18,914 19,523	15,415 15,937 16,444 16,936 17,413	14,029 14,451 14,857 15,247 15,622	12,821 13,163 13,489 13,799 14,094	11,764 12,042 12,303 12,550 12,783	10,836 11,061 11,272 11,469 11,654	10,017 10,201 10,371 10,529 10,675	8,649 8,772 8,883 8,985 9,077	8,075 8,176 8,266 8,348 8,422	7,562 7,645 7,718 7,784 7,843	6,687 6,743 6,792 6,835 6,873	6,312 6,359 6,399 6,434 6,464	5,973 6,011 6,044 6,073 6,097	5,665 5,696 5,723 5,746 5,766	5,384 5,410 5,432 5,451 5,467	5,127 5,149 5,167 5,182 5,195	4,891 4,909 4,925 4,937 4,648	3,693 3,970 3,976 3,981 3,985	3,320 3,323 3,325 3,327 3,329	2,852 2,853 2,854 2,855 2,856
30	25,808	22,396	19,600	17,292	15,372	13,765	12,409	11,258	9,427	8,694	8,055	7,003	6,566	6,177	5,829	5,517	5,235	4,979	3,995	3,332	2,857
35	29,409	24,999	21,487	18,665	16,374	14,498	12,948	11,655	9,644	8,855	8,176	7,070	6,617	6,215	5,858	5,539	5,251	4,992	3,998	3,333	2,857
40	32,835	27,355	23,115	19,793	17,159	15,046	13,332	11,925	9,779	8,951	8,244	7,105	6,642	6,233	5,871	5,548	5,258	4,997	3,999	3,333	2,857
45	36,095	29,490	24,519	20,720	17,774	14,456	13,606	12,108	9,863	9,008	8,283	7,123	6,654	6,242	5,877	5,552	5,261	4,999	4,000	3,333	2,857
50	39,196	31,424	25,730	21,482	18,256	15,762	13,801	12,233	9,915	9,042	8,304	7,133	6,661	6,246	5,880	5,554	5,262	4,999	4,000	3,333	2,857

Приложение 5.

Формулы, используемые при решении задач: